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Finding the Fourth Proportional to 16,035.85, 24,050.13 and 7,710.67

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Solution

The fourth proportional to 16,035.85, 24,050.13 and 7,710.67 is: 11,564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,035.85 : 24,050.13 = 7,710.67 : x
  2. Step 2: Convert to fraction form
    16,035.85/24,050.13 = 7,710.67/x
  3. Step 3: Cross multiply
    16,035.85x = 24,050.13 × 7,710.67
  4. Step 4: Simplify right side
    16,035.85x = 185,442,615.89
  5. Step 5: Solve for x
    x = 185,442,615.89/16,035.85
  6. Step 6: Final answer
    x = 11,564.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.